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Finding the Fourth Proportional to 10,662.50, 15,993.75 and 2,871.32

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Solution

The fourth proportional to 10,662.50, 15,993.75 and 2,871.32 is: 4,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.50 : 15,993.75 = 2,871.32 : x
  2. Step 2: Convert to fraction form
    10,662.50/15,993.75 = 2,871.32/x
  3. Step 3: Cross multiply
    10,662.50x = 15,993.75 × 2,871.32
  4. Step 4: Simplify right side
    10,662.50x = 45,923,094.28
  5. Step 5: Solve for x
    x = 45,923,094.28/10,662.50
  6. Step 6: Final answer
    x = 4,306.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.